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Popular Calculus >

integral from-1 to 2 of (1-|x|)

Solution

\int_{- 1}^{2} (1 - ∣ x ∣) d x

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

\int_{- 1}^{2} 1 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} 1 - (- x) d x + \int_{0}^{2} 1 - x d x

\int_{- 1}^{0} 1 - (- x) d x = \frac{1}{2}

\int_{0}^{2} 1 - x d x = 0

= \frac{1}{2} + 0

Simplify

= \frac{1}{2}

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (1-|x|) ?
The integral from-1 to 2 of (1-|x|) is 1/2